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Finding the Fourth Proportional to 33,136.48, 49,703.36 and 13,415.20

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Solution

The fourth proportional to 33,136.48, 49,703.36 and 13,415.20 is: 20,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136.48 : 49,703.36 = 13,415.20 : x
  2. Step 2: Convert to fraction form
    33,136.48/49,703.36 = 13,415.20/x
  3. Step 3: Cross multiply
    33,136.48x = 49,703.36 × 13,415.20
  4. Step 4: Simplify right side
    33,136.48x = 666,780,515.07
  5. Step 5: Solve for x
    x = 666,780,515.07/33,136.48
  6. Step 6: Final answer
    x = 20,122.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.